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Finding the Fourth Proportional to 21,045.92, 31,559.63 and 7,889.09

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Solution

The fourth proportional to 21,045.92, 31,559.63 and 7,889.09 is: 11,830.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,045.92 : 31,559.63 = 7,889.09 : x
  2. Step 2: Convert to fraction form
    21,045.92/31,559.63 = 7,889.09/x
  3. Step 3: Cross multiply
    21,045.92x = 31,559.63 × 7,889.09
  4. Step 4: Simplify right side
    21,045.92x = 248,976,564.19
  5. Step 5: Solve for x
    x = 248,976,564.19/21,045.92
  6. Step 6: Final answer
    x = 11,830.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.